1e's table look-ups were slow. That's why it sucked. Once folks realized you could reduce it to simple formula, things got better. The result, was 2e's THAC0
When WotC first bought TSR, the first thing Adkision pimped in a Dragon editorial was reversing the AC math, so the numbers went up. Gee, where do you think 3e came from...
In fact, technically, your BAB is really THAC0, which still stands for "To-Hit Armor Class 0"
And in the old 2e days (which I played from '90 to 2000), we ALWAYS told the players what the AC was. The nature of the formula implied that telling the players the numbers made the combat faster.
When the rules day, "subtract the AC from your THAC0, that's what you need to roll or higher to hit" it pretty much implies you need to know the AC before you roll the die. Not doing so (on the DM's part) is what slowed combat down, for the sake of purported realism. No wonder so many people complained about 2e, with DM's running their game with secret ACs....combat would have to suck.
Janx